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I was an undergraduate and a PhD student at York, then a temporary lecturer at Bristol and Manchester before holding a Royal Society European Research Fellowship at the Technishe Hochshule, Darmstadt. I returned to York with an SERC (now EPSRC) Postdoctoral Fellowship, before taking up a lectureship here.
I have held a number of editorial positions. Currently I am on the Editorial Board of Semigroup Forum.
I am a member of the Ethics Committee of the European Mathematical Society.
I have been a member of Senate and the Standing Committee on Assessment.
I am an algebraist, interested in (amongst other things) structure theory for semigroups, endomorphism monoids of universal algebras, semigroups of quotients, S-acts over a monoid S and T-posets over an ordered monoid T. Several of these themes appear in my recent work, which has focussed on free idempotent generated semigroups.
Further details of my publications may be found in the York Research Database; http://www-users.york.ac.uk/~varg1/gpubs.htm also contains preprints and unpublished research notes.
I work primarily in algebraic semigroup theory, focussing on a number of inter-related areas:
I have supervised to completion nine PhD students, eight of whom now hold academic positions, and a number of visiting research students, at both Masters and PhD level. Currently I am supervising four PhD students.
My PhD students have worked on topics fitting into one or more of the themes above. I am always pleased to learn new material, and am happy to consider potential students in any area of semigroup theory.